This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.
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لغة الإنجليزية ● شكل PDF ● ISBN 9783540457657 ● الناشر Springer Berlin Heidelberg ● نشرت 2004 ● للتحميل 3 مرات ● دقة EUR ● هوية شخصية 5780170 ● حماية النسخ Adobe DRM
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